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Finding the Fourth Proportional to 2,758.14, 3,804.92 and 1,638.44

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Solution

The fourth proportional to 2,758.14, 3,804.92 and 1,638.44 is: 2,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.14 : 3,804.92 = 1,638.44 : x
  2. Step 2: Convert to fraction form
    2,758.14/3,804.92 = 1,638.44/x
  3. Step 3: Cross multiply
    2,758.14x = 3,804.92 × 1,638.44
  4. Step 4: Simplify right side
    2,758.14x = 6,234,133.12
  5. Step 5: Solve for x
    x = 6,234,133.12/2,758.14
  6. Step 6: Final answer
    x = 2,260.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.